Answer:
The slope of a line that includes the points (4, -2) and (5, 0) is 2
Step-by-step explanation:
You know that the formula y - y1 = m(x - x1) is the point-slope form of the equation of a line where m is the slope of a line.
The line must include the points (4, -2) and (5, 0). So, being:
- (x,y)= (4,-2)
- (x1,y1)= (5, 0)
and replacing in the point-slope form of the equation of a line:
-2-0=m(4-5)
You solve the equation for m and get:
-2=m*(-1)
m=2
<u><em>The slope of a line that includes the points (4, -2) and (5, 0) is 2</em></u>
Ok. so lets call the cost of each soda x. now, 3 packs of soda is 10 less than five packs of soda. so the price of 3 packs of soda is 3x, the price of five packs is 5x. now, it says that 3 packs is 10 less than five packs. that means that 3x=5x-10.
now, to find the price of a pack of soda, we have to isolate x.
add 10 to both sides to get 3x+10=5x. now, we subtact 3x on both sides to get 10=2x. divide by 2 on both sides, x=5. a pack of soda is 5 dollars
Answer:
28 (length' unit)²
Step-by-step explanation:
- the area of all A rectangle is 4*8 =32
- The area of the missing portion of the rectangle is equal to the area of the triangle ½*(2)*(4)=4
- the area of this shape equal to
the area of all A rectangle - The area of the missing portion of the rectangle = 32 - 4 = 28 (length' unit)²
Answer:
<u>4 hours</u>
Step-by-step explanation:
Equations :
Larry : <u>y = 20x + 90</u>
Barry : <u>y = 30x + 50</u>
Equate both to find the number of hours at which they both charge the same :
- 20x + 90 = 30x + 50
- 30x - 20x = 90 - 50
- 10x = 40
- x = <u>4 hours</u>
Answer:
54
Step-by-step explanation:
54
